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A river 3 m deep and 10 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?
- a)1000 l
- b)10 kl
- c)1000 kl
- d)100 kl
Correct answer is option 'C'. Can you explain this answer?
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A river 3 m deep and 10 m wide is flowing at the rate of 2 km per hour...
Given:
- Depth of the river = 3 m
- Width of the river = 10 m
- Rate of flow of the river = 2 km/hour
To find:
The amount of water that will fall into the sea in a minute.
Solution:
To find the amount of water that will fall into the sea in a minute, we need to calculate the volume of water flowing in the river in that time.
Since we are given the rate of flow of the river in kilometers per hour, we need to convert it into meters per minute to match the units.
1 kilometer = 1000 meters
1 hour = 60 minutes
Therefore, the rate of flow of the river in meters per minute = (2 km/hour) * (1000 m/km) / (60 min/hour) = 33.33 m/min (approx.)
Volume of water:
The volume of water flowing in the river in 1 minute can be calculated by multiplying the rate of flow with the cross-sectional area of the river.
Cross-sectional area of the river = Depth * Width
Volume of water flowing in 1 minute = Rate of flow * Cross-sectional area
Substituting the given values:
Volume of water flowing in 1 minute = 33.33 m/min * (3 m * 10 m)
Simplifying:
Volume of water flowing in 1 minute = 33.33 m/min * 30 m²
Volume of water flowing in 1 minute = 999.9 m³ (approx.)
Conversion:
To convert the volume from cubic meters to kiloliters, we divide the volume by 1000.
Volume of water flowing in 1 minute = 999.9 m³ / 1000 = 0.9999 kl (approx.)
Answer:
Therefore, the amount of water that will fall into the sea in a minute is approximately 0.9999 kiloliters, which is equal to 1000 liters. Hence, the correct answer is option C) 1000 kl.
- Depth of the river = 3 m
- Width of the river = 10 m
- Rate of flow of the river = 2 km/hour
To find:
The amount of water that will fall into the sea in a minute.
Solution:
To find the amount of water that will fall into the sea in a minute, we need to calculate the volume of water flowing in the river in that time.
Since we are given the rate of flow of the river in kilometers per hour, we need to convert it into meters per minute to match the units.
1 kilometer = 1000 meters
1 hour = 60 minutes
Therefore, the rate of flow of the river in meters per minute = (2 km/hour) * (1000 m/km) / (60 min/hour) = 33.33 m/min (approx.)
Volume of water:
The volume of water flowing in the river in 1 minute can be calculated by multiplying the rate of flow with the cross-sectional area of the river.
Cross-sectional area of the river = Depth * Width
Volume of water flowing in 1 minute = Rate of flow * Cross-sectional area
Substituting the given values:
Volume of water flowing in 1 minute = 33.33 m/min * (3 m * 10 m)
Simplifying:
Volume of water flowing in 1 minute = 33.33 m/min * 30 m²
Volume of water flowing in 1 minute = 999.9 m³ (approx.)
Conversion:
To convert the volume from cubic meters to kiloliters, we divide the volume by 1000.
Volume of water flowing in 1 minute = 999.9 m³ / 1000 = 0.9999 kl (approx.)
Answer:
Therefore, the amount of water that will fall into the sea in a minute is approximately 0.9999 kiloliters, which is equal to 1000 liters. Hence, the correct answer is option C) 1000 kl.
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A river 3 m deep and 10 m wide is flowing at the rate of 2 km per hour. How much water will fall into the sea in a minute?a)1000 lb)10 klc)1000 kld)100 klCorrect answer is option 'C'. Can you explain this answer?
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